It is possible for redheads to get a tan, but all people, including redheads, need to carefully regulate their sun exposure. While redheads have a higher skin cancer rate, which makes getting a tan more involved, no one is immune to this type of cancer.
Between 2 and 6 percent of the population of the US are redheads. This rarity is caused by two copies of a recessive gene, which causes a mutation on the MC1R protein. This protein is responsible for regulating skin and hair color. About 25 percent of the US population are carriers of this gene, but the gene is only expressed when two copies are present.